It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

This paper concerns the asymptotic behavior toward rarefaction waves of the solution of a genera) 2 x 2 hyperbolic conservation laws with positive viscosity. We prove that if the initial data is close to a constant state and its values at + a3 lie on the kth rarefaction curve for the corresponding hyperbolic conservation laws, then the solution tends as I + co to the rarefaction wave determined...

In this paper, we show explicitly the classes of elliptic and hyperelliptic curves of low genera dened over extension elds, which have weak coverings , i.e. their Weil restrictions can be attacked by either index calculus attacks to hyperelliptic curves or Diem's recent attack to non-hyperelliptic curves. In particular, we show how to construct such c o v erings from these curves and analyze de...

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

an updated checklist of the herpetofauna of iran is presented based on records of amphibian and reptile species whose presence has been confirmed in iran as a result of extensive field expeditions, examination of herpetological collections, literature review, and personal communications from researchers. the herpetofauna of iran consists of 13 species and five subspecies of frogs and toads belo...

We show that for smooth complex projective varieties the most general combinations of chern numbers that are invariant under the K-equivalence relation consist of the complex elliptic genera. §

The work present an application for genera ting general programs control process.TheURSIN-V2 is a New Application for Generating of Synoptical Control Applications of Industrial Processes